JEE Main 202622 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002Let cos(α+β)=−110\cos(\alpha+\beta)=-\frac{1}{10}cos(α+β)=−101 and sin(α−β)=38\sin(\alpha-\beta)=\frac38sin(α−β)=83, where 0<α<π30<\alpha<\frac{\pi}{3}0<α<3π and 0<β<π40<\beta<\frac{\pi}{4}0<β<4π. If tan2α=3(1−r5)11(s+5)\tan2\alpha=\frac{3(1-r\sqrt5)}{\sqrt{11}(s+\sqrt5)}tan2α=11(s+5)3(1−r5), r,s∈Nr, s\in\mathbb{N}r,s∈N, then r+sr+sr+s is equal to ________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
